Intrinsic ultracontractivity of nonsymmetric diffusions with measure-valued drifts and potentials

DOI10.1214/07-AOP381zbMath1175.47039arXivmath/0605757OpenAlexW2019858465MaRDI QIDQ948749

Renming Song, Panki Kim

Publication date: 20 October 2008

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0605757

zbMATH Keywords

Harnack inequalitysemigroupsdiffusionsnonsymmetric semigroupsdual processesintrinsic ultracontractivityparabolic Harnack inequalitynonsymmetric diffusionsparabolic boundary Harnack principle

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Markov semigroups and applications to diffusion processes (47D07) Probabilistic potential theory (60J45) Applications of operator theory in probability theory and statistics (47N30)

Related Items (13)

L Log L Criterion for a Class of Superdiffusions ⋮ Intrinsic ultracontractivity for general Lévy processes on bounded open sets ⋮ Strong law of large numbers for a class of superdiffusions ⋮ \(L \log L\) condition for supercritical branching Hunt processes ⋮ Two-sided estimates on Dirichlet heat kernels for time-dependent parabolic operators with singular drifts in \(C^{1,\alpha }\)-domains ⋮ Boundary behavior of harmonic functions for truncated stable processes ⋮ Quasi-stationarity and quasi-ergodicity of general Markov processes ⋮ Uniform conditional ergodicity and intrinsic ultracontractivity ⋮ Supercritical superprocesses: proper normalization and non-degenerate strong limit ⋮ Limit theorems for some critical superprocesses ⋮ Intrinsic ultracontractivity of non-symmetric diffusion semigroups in bounded domains ⋮ Pointwise eigenfunction estimates and intrinsic ultracontractivity-type properties of Feynman-Kac semigroups for a class of Lévy processes ⋮ Strong law of large numbers for supercritical superprocesses under second moment condition

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